83565240 has 256 divisors, whose sum is σ = 295488000. Its totient is φ = 18708480.

The previous prime is 83565227. The next prime is 83565241. The reversal of 83565240 is 4256538.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83565241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1416331 + ... + 1416389.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 2^83565240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83565240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744000).

83565240 is an abundant number, since it is smaller than the sum of its proper divisors (211922760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83565240 is a wasteful number, since it uses less digits than its factorization.

83565240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 83565240 is about 9141.4025182135. The cubic root of 83565240 is about 437.1950353613.

The spelling of 83565240 in words is "eighty-three million, five hundred sixty-five thousand, two hundred forty".